 If squares are constructed on the two sides, and also on the hypotenuse of a right-angled triangle, then the sum of the squares on the sides is equal to the square on the hypotenuse. This is proved in geometry, but may be verified by counting squares...  High School Algebra: Complete Course - Page 206by Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 494 pagesFull view - About this book
 | Encyclopedias and dictionaries - 1865 - 854 pages
...call these х and >/, we have xy = 24, the first of the equations above given. Again, we know that the sum of the squares on the sides is equal to the square on the diagonal ; hence, we have the second equation, zs + y- = 62. From these two equations, we should be... | |
 | Encyclopedias and dictionaries - 1868 - 856 pages
...we call these x and y, we have xy = 24, the first of the equations above given. Again, we know that the sum of the squares on the sides is equal to the square on the diagonal ; hence, we have the second equation, x2 + y1 = 62. From these two equations, we should be... | |
 | James Blaikie - 1892 - 74 pages
...show that AC2+BD2=2 (EF2+FG2+GH2 + HE-), and' apply the previous Ex. AH BFC 4. In any quadrilateral, the sum of the squares on the sides is equal to the sum of the squares on the diagonals, together with four times the square on the straight line joining... | |
 | Encyclopedias and dictionaries - 1897 - 898 pages
...we call these x and y, we have xy = 24, the first of the equations above given. Again, we know that the sum of the squares on the sides is equal to the square on the diagonal , hence, we have the second equation, .e* 4- y* = 52. From these two equations, we should... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1907 - 328 pages
...width instead of the length. We have seen before that solving a quadratic often results in one solution which is without meaning in the problem that gives...Pythagorean proposition. QUADRATIC AND LINEAR EQUATIONS 5sq. es ii-f t. PROBLEMS 1. The sum of the sides about the right angle of a right triangle is 35 inches,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1907 - 328 pages
...width instead of the length. We have seen before that solving a quadratic often results in one solution which is without meaning in the problem that gives...BC Hence it is called the Pythagorean proposition. it..* lift / .~-t t*-- 9 s i. £ ~.-fPROBLEMS 1. The sum of the sides about the right angle of a right... | |
 | 1908 - 650 pages
...AB and AC is equal to the difference of the squares on AD and AE. 8. Prove that in any parallelogram the sum of the squares on the sides is equal to the sum of the squares on the diagonals. BOOK-KEEPING. One hour and a half allowed for this paper. NB —... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1912 - 300 pages
...— w = 1» f 7 a; + 4 w = 7, 18 4 19l3a^-2!/2 = -5. ' 14. i 20. 1 15 ^ + 49^ = 784. I*2-y2 = 166. If squares are constructed on the two sides, and also...BC Hence it is called the Pythagorean proposition. We now proceed to solve some problems by this proposition. PROBLEMS 1. The sum of the sides about the... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...+ 3 = 0. EQUATIONS SOLVED BY FACTORING 120. Pythagorean Proposition. It is proved in geometry that if squares are constructed on the two sides, and also...the sides is equal to the square on the hypotenuse. HISTORICAL НОТЕ The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...+ 3 = 0. EQUATIONS SOLVED BY FACTORING 120. Pythagorean Proposition. It is proved in geometry that if squares are constructed on the two sides, and also...the sides is equal to the square on the hypotenuse. HISTORICAL NOTE The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right triangle... | |
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